An energy principle for high-latitude electrodynamics

Physics

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Electric Fields, Electrodynamics, Ionospheric Currents, Polar Regions, Auroral Electrojets, Convection Currents, Field Aligned Currents, Fourier Analysis, Mathematical Models, Ohmic Dissipation, Solar Terrestrial Interactions, Variational Principles

Scientific paper

A theoretical model for mid- and high-latitude electric fields and currents is constructed using Fourier analysis methods. A two-dimensional planar ionosphere with an enhanced conductivity auroral belt and field-aligned currents at the edges is employed. The postulate that the electric field and currents adjust self-consistently to minimize the global Joule dissipation rate defines a theoretical relation between the primary and secondary field-aligned currents. This so-called minimal dissipation configuration is examined using several input field-aligned current models, and graphical solutions for the electric field and ionospheric current are shown. A detailed discussion and interpretation of the solutions with relation to diverse observations and high-latitude phenomenology are included.

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